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122010340321023 = 37211163787588199
BaseRepresentation
bin11011101111011110111110…
…111111100110011011111111
3121000000002000101202121201020
4123233132332333212123333
5111443004134110233043
61111254435422515223
734461645655026600
oct3357367677463377
9530002011677636
10122010340321023
1135970327343250
1211826508135b13
1353106ab025c9b
14221b490d4dda7
15e18b80316e83
hex6ef7befe66ff

122010340321023 has 96 divisors (see below), whose sum is σ = 207975021926400. Its totient is φ = 62912999298240.

The previous prime is 122010340320991. The next prime is 122010340321039. The reversal of 122010340321023 is 320123043010221.

It is not a de Polignac number, because 122010340321023 - 25 = 122010340320991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122010340320984 and 122010340321002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010340321063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (37) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207136278 + ... + 207724476.

It is an arithmetic number, because the mean of its divisors is an integer number (2166406478400).

Almost surely, 2122010340321023 is an apocalyptic number.

122010340321023 is a deficient number, since it is larger than the sum of its proper divisors (85964681605377).

122010340321023 is a wasteful number, since it uses less digits than its factorization.

122010340321023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589177 (or 589170 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 122010340321023 its reverse (320123043010221), we get a palindrome (442133383331244).

The spelling of 122010340321023 in words is "one hundred twenty-two trillion, ten billion, three hundred forty million, three hundred twenty-one thousand, twenty-three".

Divisors: 1 3 7 11 21 33 49 77 147 163 231 489 539 787 1141 1617 1793 2361 3423 5379 5509 7987 8657 12551 16527 23961 25971 37653 38563 60599 87857 115689 128281 181797 263571 384843 424193 588199 897967 1272579 1411091 1764597 2693901 4117393 4233273 6285769 6470189 9877637 12352179 18857307 19410567 28821751 29632911 45291323 69143459 86465253 95876437 135873969 207430377 287629311 317039261 462912613 671135059 951117783 1054640807 1388737839 2013405177 3163922421 3240388291 4697945413 5092038743 7382485649 9721164873 14093836239 15276116229 22147456947 22682718037 35644271201 51677399543 68048154111 75454755919 106932813603 155032198629 226364267757 249509898407 528183291433 748529695221 830002315109 1584549874299 2490006945327 3697283040031 5810016205763 11091849120093 17430048617289 40670113440341 122010340321023